English

Weyl modules for twisted toroidal Lie algebras

Representation Theory 2024-08-13 v1

Abstract

In this paper, we extend the notion of Weyl modules for twisted toroidal Lie algebra T(μ)\mathcal{T}(\mu). We prove that the level one global Weyl modules of T(μ)\mathcal{T}(\mu) are isomorphic to the tensor product of the level one representation of twisted affine Lie algebras and certain lattice vertex algebras. As a byproduct, we calculate the graded character of the level one local Weyl modules of T(μ)\mathcal{T}(\mu).

Keywords

Cite

@article{arxiv.2408.05539,
  title  = {Weyl modules for twisted toroidal Lie algebras},
  author = {Ritesh Kumar Pandey and Sachin S. Sharma},
  journal= {arXiv preprint arXiv:2408.05539},
  year   = {2024}
}
R2 v1 2026-06-28T18:09:24.528Z